X3726

X2238com(INCENTRAL TRIANGLE)

< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 1, 32 }: Central Line L(1, 32) { 37, 38 }: Central Line L(37, 38) { 335, 350 }: Central Line L(335, 350) { 244, 1575 }: Central Line L(244, 1575) { 518, 2238 }: Central Line L(518, 2238) { 902, 1962 }: Central Line L(902, 1962) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_350 = -HIRST INVERSE OF X(75) (-3.5227, -3.1370) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_1575 = EXSIMILICENTER OF SPIEKER AND (1/2)-MOSES CIRCLES (2.5675, 1.8684) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_2238 = -ISOCONJUGATE OF X(741) (2.2505, 2.0410) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_1962 = BICENTRIC SUM OF PU(32) (0.5646, 0.2243) X_3726 = com(INCENTRAL TRIANGLE) (-0.1176, -0.7715) A B C X1 X32 X37 X38 X335 X350 X244 X1575 X518 X2238 X902 X1962 X3726 (a, b, c) = (5, 6, 7) | AB = 1

X3726 (X2238com(INCENTRAL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(2abc - b^{3} - c^{3})\)
Search Value (6, 9, 13): \(5.882262570555\)
▸ Incident Central Lines11 lines

{1, 32}, {37, 38}, {244, 1575}, {335, 350}, {518, 2238}, {519, 3125}, {758, 3230}, {902, 1962}, {940, 3218}, {942, 2295}, {982, 2276}